Q: What are the prime factors of the number 716,305,206?

 A: 2, 3, 19, 6283379

Why are those the prime factors of the number 716,305,206?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 716,305,206

716,305,206
Factor Arrows
2358,152,603
Factor Arrows
3119,384,201
Factor Arrows
196,283,379

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 19, 6283379

We can check our work by multiplying all of the prime factors together: 2 x 3 x 19 x 6,283,379 = 716,305,206

This can also be written as 21 x 31 x 191 x 6,283,3791 = 716,305,206

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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